User Account

All Pages

Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Write short note on c++, Introduction to C++ C++ was developed by Bjarn...

Introduction to C++ C++ was developed by Bjarne Stroustrup at Bell Laboratories in 1983. Originally, it was known as " C with class". C+ as an enhancement to the C language was

Explain friend for overloading operators, Friend for Overloading Operators ...

Friend for Overloading Operators Sometimes friend functions cannot be avoided. For example with the operator overloading. Consider the following class that have data members to

How do you know that your class requires virtual destructor, How do you kn...

How do you know that your class requires a virtual destructor? A: If at least your class has one virtual function, you must make a destructor for this class virtual. It will let

COMPUTER, THEORY OF A COMPUTER PROGRAMMING

THEORY OF A COMPUTER PROGRAMMING

Overloading of destructor, Is Overloading of Destructor possible?

Is Overloading of Destructor possible?

What if one can''t wrap the local in an artificial block?, What if one can'...

What if one can''t wrap the local in an artificial block?

Algorithm and flowchart, an algorithm and flowchart of finding the product ...

an algorithm and flowchart of finding the product of any two numbers

Area under curve, find the area of a curve y=f(x) between x=a and x=b integ...

find the area of a curve y=f(x) between x=a and x=b integrate f(x) between limits a and b   #include float start_point, /* GLOBAL VARIABLES */

Recursion, write a cprogram to calculate fraction through recursion

write a cprogram to calculate fraction through recursion

Flow chart, obtain two numbers from thekey board,and determain and display(...

obtain two numbers from thekey board,and determain and display(if either)is the larger of two numbers.

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd